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101212120000020 = 223510118899883733
BaseRepresentation
bin10111000000110101001000…
…011101011010011000010100
3111021100210011122221102200210
4113000311020131122120110
5101231224410210000040
6555132112301005420
730214222454143311
oct2700651035323024
9437323148842623
10101212120000020
112a281901166707
12b427706253870
1344623536bc3a3
141adc99ac73d08
15ba7b5d531480
hex5c0d4875a614

101212120000020 has 96 divisors (see below), whose sum is σ = 286215284073600. Its totient is φ = 26721227737600.

The previous prime is 101212119999967. The next prime is 101212120000027. The reversal of 101212120000020 is 20000021212101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101212119999960 and 101212120000005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212120000027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114086074 + ... + 114969806.

It is an arithmetic number, because the mean of its divisors is an integer number (2981409209100).

Almost surely, 2101212120000020 is an apocalyptic number.

101212120000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212120000020 is an abundant number, since it is smaller than the sum of its proper divisors (185003164073580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101212120000020 is a wasteful number, since it uses less digits than its factorization.

101212120000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902745 (or 902743 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101212120000020 its reverse (20000021212101), we get a palindrome (121212141212121).

The spelling of 101212120000020 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 18899 37798 56697 75596 94495 113394 188990 226788 283485 377980 566970 883733 1133940 1767466 1908799 2651199 3534932 3817598 4418665 5302398 5726397 7635196 8837330 9543995 10604796 11452794 13255995 17674660 19087990 22905588 26511990 28631985 38175980 53023980 57263970 89257033 114527940 178514066 267771099 357028132 446285165 535542198 892570330 1071084396 1338855495 1785140660 2677710990 5355421980 16701669967 33403339934 50105009901 66806679868 83508349835 100210019802 167016699670 200420039604 250525049505 334033399340 501050099010 1002100198020 1686868666667 3373737333334 5060606000001 6747474666668 8434343333335 10121212000002 16868686666670 20242424000004 25303030000005 33737373333340 50606060000010 101212120000020